Prime p₀= 955549247562809771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 118 2 4 2 22 2 88 2 4 2 (?)
a_n: 0 2 60 62 180 182 186 188 210 212 300 302 306 308
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 308
Found by: Theadalus
db: batch=76, k=14, 58 118 4 22 88 4

SPT(16)	955547990786862119	0 30 48 72 78 92 98 110 150 162 168 182 188 212 230 260	-1256775947652
SPT(16)	955548093827476759	0 58 168 198 210 220 234 252 280 298 312 322 334 364 474 532	-1153735333012
SPT(16)	955548593111253721	0 6 30 40 46 52 72 126 142 196 216 222 228 238 262 268	-654451556050
TPT(14)	955548664509670799	0 2 12 14 138 140 150 152 162 164 198 200 282 284	-583053138972
STPT(10)	955548841778766251	0 2 30 32 78 80 126 128 156 158	-405784043520
SPT(16)	955548929411502893	0 20 38 48 80 126 176 216 218 258 308 354 386 396 414 434	-318151306878
STPT(10)	955549445482754819	0 2 12 14 90 92 168 170 180 182	197919945048
STPT(10)	955549519124339507	0 2 30 32 42 44 54 56 84 86	271561529736
STPT(10)	955549672647883499	0 2 18 20 30 32 42 44 60 62	425085073728
STPT(10)	955549692810399677	0 2 12 14 42 44 72 74 84 86	445247589906
SPT(16)	955549885819342117	0 12 24 40 90 96 126 154 222 250 280 286 336 352 364 376	638256532346